Reaction–diffusion fronts and the butterfly set

DOI10.1063/5.0022298zbMath1458.35104OpenAlexW3106320395WikidataQ103824595 ScholiaQ103824595MaRDI QIDQ5140904

Kevin Rohe, Stefan Wehner, Jaime E. Cisternas

Publication date: 17 December 2020

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/5.0022298

zbMATH Keywords

butterfly bifurcationcoexistence of multiple stable steady statesfront splitting instability

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32) Traveling wave solutions (35C07)

Related Items

Stationary fronts and pulses for multistable equations with saturating diffusion

Uses Software

• AUTO
• FreeFem++
• AUTO-07P

Cites Work

• Unnamed Item
• Numerical computation of heteroclinic orbits
• The approach of solutions of nonlinear diffusion equations to travelling front solutions
• Multidimensional nonlinear diffusion arising in population genetics
• Butterfly catastrophe for fronts in a three-component reaction-diffusion system
• Bifurcations of front motion in passive and active Allen–Cahn-type equations
• Bifurcation to fronts due to delay
• Propagation Phenomena in a Bistable Reaction-Diffusion System
• Front Interaction and Nonhomogeneous Equilibria for Tristable Reaction-Diffusion Equations
• Pattern formation in non-gradient reaction-diffusion systems: the effects of front bifurcations
• New development in freefem++
• Travelling fronts in time-delayed reaction–diffusion systems
• Competing ternary surface reaction CO + O ₂  + H ₂ on Ir(111)